Details

sample97.0ms

Algorithm

intervals

Results

24.0ms	288×	body	80	valid
21.0ms	307×	body	80	nan

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4510
9	2947
8	1717
7	1207
6	890
5	546
4	246
3	112
2	57
1	26
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (- z (log z)))
0.0b	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
0.0b	(- z (log z))
0.2b	(* (- 1.0 (- z (log z))) y)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
42×	`prod-diff`
32×	`add-cube-cbrt`
18×	`pow1` `distribute-lft-out--`
17×	`associate--r+`
12×	`log-pow`
9×	`add-log-exp`
7×	`associate-l`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`log-prod` `sub-neg` `flip3--` `associate-r` `flip--`
2×	`associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `associate--r-` `unswap-sqr`

Counts

4 → 126

Calls

4 calls:

18.0ms	(- 1.0 (- z (log z)))
0.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
9.0ms	(- z (log z))
60.0ms	(* (- 1.0 (- z (log z))) y)

series779.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(- 1.0 (- z (log z)))
80.0ms	(fma x 0.5 (* (- 1.0 (- z (log z))) y))
219.0ms	(- z (log z))
120.0ms	(* (- 1.0 (- z (log z))) y)

simplify2.2s

Counts

138 → 138

Iterations

Iter	Nodes
done	5017
3	3463
2	1205
1	482
0	202

prune701.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
0.2b	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
19×	`add-cube-cbrt`
15×	`prod-diff`
11×	`pow1`
9×	`cbrt-prod`
8×	`log-pow`
7×	`associate-l` `distribute-lft-out--`
6×	`log-prod` `add-cbrt-cube` `add-exp-log` `associate--r+`
5×	`pow1/3` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-neg` `associate-r`
2×	`flip3--` `associate-*l/` `flip--` `difference-of-squares`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

77.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
12.0ms	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series2.2s

Counts

4 → 12

Calls

4 calls:

718.0ms	(* (- 1.0 (- (fma -2 (log (cbrt z)) z) (log (cbrt z)))) y)
924.0ms	(- (fma -2 (log (cbrt z)) z) (log (cbrt z)))
260.0ms	(cbrt z)
268.0ms	(cbrt z)

simplify2.8s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
3	3845
2	1030
1	370
0	166

prune830.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- z (log z)))
0.1b	(sqrt (- z (log z)))
0.2b	(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
0.4b	(* (+ (sqrt 1.0) (sqrt (- z (log z)))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-l`
17×	`pow1`
12×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log`
10×	`associate-*l/`
9×	`add-cube-cbrt`
6×	`flip3--` `flip--` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `sqrt-div` `associate-r` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative`
1×	`unswap-sqr`

Counts

4 → 102

Calls

4 calls:

9.0ms	(sqrt (- z (log z)))
10.0ms	(sqrt (- z (log z)))
98.0ms	(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
161.0ms	(* (+ (sqrt 1.0) (sqrt (- z (log z)))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))

series953.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (- z (log z)))
47.0ms	(sqrt (- z (log z)))
142.0ms	(* (- (sqrt 1.0) (sqrt (- z (log z)))) y)
726.0ms	(* (+ (sqrt 1.0) (sqrt (- z (log z)))) (* (- (sqrt 1.0) (sqrt (- z (log z)))) y))

simplify4.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	3565
1	988
0	326

prune792.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt z) (cbrt z))
208.0ms	(cbrt z)
319.0ms	(cbrt z)
319.0ms	(cbrt z)

simplify3.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
4	4322
3	1076
2	382
1	140
0	65

prune588.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes281.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	9163×	body	80	valid
676.0ms	9124×	body	80	nan